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Finding the Fourth Proportional to 98,566, 136,021.20 and 53,854

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Solution

The fourth proportional to 98,566, 136,021.20 and 53,854 is: 74,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,566 : 136,021.20 = 53,854 : x
  2. Step 2: Convert to fraction form
    98,566/136,021.20 = 53,854/x
  3. Step 3: Cross multiply
    98,566x = 136,021.20 × 53,854
  4. Step 4: Simplify right side
    98,566x = 7,325,285,704.80
  5. Step 5: Solve for x
    x = 7,325,285,704.80/98,566
  6. Step 6: Final answer
    x = 74,318.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.